Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.915631799079&{}:{}&0.040496736442&{}:{}&0.043871464479&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.823111595205&{}:{}&-1.963201742740&{}:{}&2.140090147534&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.698502526124&{}:{}&1.676406062698&{}:{}&-1.374908588822&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.755704774914&{}:{}&0.005630791516&{}:{}&0.238664433570&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.910510351933&{}:{}&0.079083072757&{}:{}&0.010406575310&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.913773251376&{}:{}&0.000246401376&{}:{}&0.085980347248&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&-0.298199128586&{}:{}&0.711234117383&{}:{}&0.586965011203&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.992108441892&{}:{}&0.043879159869&{}:{}&-0.035987601761&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.996055317793&{}:{}&-0.043780184423&{}:{}&0.047724866630&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.143397840021&{}:{}&1.143397840021&,\\B^*_{\mathbf{5}}&{}\approx{}&0.807067162602&{}:{}&0.000000000000&{}:{}&0.192932837398&,\\C^*_{\mathbf{5}}&{}\approx{}&1.030907319333&{}:{}&-0.030907319333&{}:{}&0.000000000000&.
\end{alignedat}
\]